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Number of A+B\ne C solutions in abelian groups and application to counting independent sets in hypergraphs
European Journal of Combinatorics. 2022. Vol. 100. Article 103453.
The paper deals with a problem of Additive Combinatorics. Let G be a finite abelian group of order n. We investigate the number of subset triples (A,B,C) such that for any x from A, y from B, c from C x+y is not equal to z. We prove the tight estimate for this value. As a corollary, we provide a tight estimate for the number of independent sets in a special 3-uniform linear hypergraph and disproves the conjecture of Cohen et al. concerning the maximal possible number of independent sets in such hypergraphs on vertices.
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Springer, 2027.
The series Lecture Notes in Computer Science (LNCS), including its subseries Lecture Notes in Artificial Intelligence (LNAI) and Lecture Notes in Bioinformatics (LNBI), has established itself as a medium for the publication of new developments in computer science and information technology research, teaching, and education. LNCS enjoys close cooperation with the computer science R & ...
Added: July 8, 2026
Маликов М. А., Монахова Э. А., Rzaev E. et al., Ученые записки Казанского университета. Серия: Физико-математические науки 2026 Т. 168 № 2 С. 269–286
This article examines series of families of two-dimensional circulant networks with rectangular
L -shapes, optimal in diameter, as network-on-chip topologies with a minimal number of crossings
between the links and a bounded length of the maximum link that does not depend on the network
size. New network-on-chip routing algorithms, which use the coordinates of three adjacent zeros in
the ...
Added: July 8, 2026
Pilé I., Shchur L., Deng Y., Physical Review B: Condensed Matter and Materials Physics 2026 Vol. 114 Article 014101
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Swendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for models in different universality classes: Ising model, Potts model with three components, and four-state Potts model. The overlap of two ...
Added: July 6, 2026
Irkutsk: ISDCT SB RAS, 2026.
We study a model problem on the filtration of a conducting fluid through a
porous layer. A porous medium is presented as an assemblage of identical spherical
cells. Each cell consists of a porous core and liquid shell. We derive apriori estimates
for flow characteristics which show the specific behavior of the fluid. Our estimates
are validated numerically. ...
Added: July 5, 2026
М.: Наука и технологии, 2026.
«Телекоммуникации» ежемесячный рецензируемый производственный, информационно-аналитический и учебно-методический журнал выходит в свет с июля 2000 г.
Для руководителей и работников промышленности, научно-исследовательских и проектно-конструкторских институтов, высших учебных заведений, аспирантов и студентов, а также для специалистов, разрабатывающих, выпускающих и эксплуатирующих средства телекоммуникаций.
Новости разработок и производства, прогнозы развития, защита информации, Нормативные, справочные, аналитические и учебно-методические материалы.
Переход к глобальному информационному ...
Added: July 4, 2026
МФТИ, 2025.
абота редакции научного журнала «Труды Московского физико-технического института» (кратко «Труды МФТИ»), редакционной коллегии и редакционного совета осуществляется в соответствии с Положением, утвержденным ректором института. В состав редакционной коллегии входят руководители института, факультетов, институтских и факультетских кафедр. Главный редактор журнала —президент МФТИ, член-корр. РАН Кудрявцев Н.Н.
Журнал «Труды МФТИ» входит в базу данных РИНЦ (Российский Индекс Научного Цитирования) и доступен в электронной ...
Added: July 4, 2026
Springer, 2026.
This book presents established and new research on the close connections between graph games and systems of logic, particularly existing and newly designed modal logics. The volume utilizes two graph games – the sabotage game and the hide-and-seek game – to demonstrate the natural interplay between designing new graph games and exploring new kinds of ...
Added: June 30, 2026
Pochinka O., Barinova M., Journal of Geometry and Physics 2026 Vol. 228 P. 1–8
In the present paper we consider an Ω-stable 3-diffeomorphism with a solid or thickened surfaced non-trivial basic set. Such basic sets include, for instance, all one-dimensional expanding attractors and those two-dimensional basic sets that are not expanding. We prove that the chain recurrent set of every such a diffeomorphism necessarily contains at least two non-trivial ...
Added: June 30, 2026
German O., Illarionov A., Известия РАН. Серия математическая 2026 Т. 90 № 3 С. 3–18
Пусть симплекс с целочисленными вершинами - содержащий ровно одну целочисленную точку, отличную от своих вершин. В работе доказывается, что если точка находится во внутренности симплекса или в относительной внутренности некоторой гиперграни симплекса, то объем симплекса ограничен величиной, зависящей только от размерности, в противном случае объем симплекса может быть сколь угодно большим. Этот результат применяется для вывода асимптотической формулы для среднего числа вершин полиэдров ...
Added: June 29, 2026
Благовещенская Е. А., Гарбарук В. В., Кузнецова И. В. et al., , in: IEEE International Conference on Electrical Engineering and Photonics (EExPolytech).: St. Petersburg: IEEE, 2021. P. 128–131.
Added: January 13, 2026
Благовещенская Е. А., Филимонов А. В., Трифонов А. Е., Journal of Mathematical Sciences 2021 Vol. 259 No. 4 P. 394–402
Added: January 13, 2026
Ustinov A., Дальневосточный математический журнал 2014 Т. 14 № 1 С. 90–95
The explicit formula for a Gauss sum is proved using the discrete Fourier transform. The Gauss quadratic reciprocity law is established as a corollary. ...
Added: October 9, 2025
Loginov K., Zhang Z., Pinardin A., / Series arXiv "math". 2025.
We study finite abelian groups acting on three-dimensional rationally connected varieties. We concentrate on the groups of K3 type, that is, abelian extensions by a cyclic group of groups that faithfully act on a K3 surface. In particular, if a finite abelian group faithfully acts on a threefold preserving a K3 surface (with at worst ...
Added: September 27, 2025
Хрыстик М. А., Сибирские электронные математические известия 2024 Т. 21 № 2 С. 1132–1144
In this paper, the length of the group algebra of the direct product of a cyclic group and an elementary abelian p-group over a eld of characteristic p is calculated. ...
Added: December 11, 2024
Zvonkov N., / Series arXiv "math". 2024.
The weight of the minimum spanning tree in a complete weighted graph with random edge weights is a well-known problem. For various classes of distributions, it is proved that the weight of the minimum spanning tree tends to a constant, which can be calculated depending on the distribution. In this paper, we generalise this result ...
Added: August 19, 2024
Хрыстик М. А., Записки научных семинаров ПОМИ РАН 2023 Т. 524 С. 166–176
конечномерные алгебры, длина алгебры, групповые алгебры, абелевы группы, $p$-группы [finite-dimensional algebras, length of an algebra, group algebras, abelian groups, $p$-groups] ...
Added: November 29, 2023
Sergey Mikhailovich Dudakov, Mathematics 2022 Vol. 10 No. 3 Article 533
Let M be a commutative cancellative monoid with an element of infinite order. The binary operation can be extended to all finite subsets of M by the
pointwise definition. So, we can consider the theory of finite subsets of M. Earlier, we have proved the following result: in the theory of finite subsets of M elementary ...
Added: November 12, 2023
Vasilyeva E., Romance M., Ivan Samoylenko et al., Entropy 2023 Vol. 25 No. 6 Article 923
We explore the metric structure of networks with higher-order interactions and introduce a novel definition of distance for hypergraphs that extends the classic methods reported in the literature. The new metric incorporates two critical factors: (1) the inter-node distance within each hyperedge, and (2) the distance between hyperedges in the network. As such, it involves ...
Added: July 28, 2023
Zapryagaev A., Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика) 2023 Т. 510 С. 3–7
Büchi arithmetics BAn, , are extensions of Presburger arithmetic with an unary functional symbol
denoting the largest power of n that divides x. Definability of a set in BAn is equivalent to its recognizability
by a finite automaton receiving numbers in their n-ary expansion. We consider the interpretations of Presburger
Arithmetic in the standard model of BAn and ...
Added: July 27, 2023
A. E. Khuzieva, Journal of Mathematical Sciences 2022 Vol. 262 No. 4 P. 581–590
We give probabilistic constructions of hypergraphs with large girth that do not admit panchromatic colorings. We prove new upper bounds on the minimal values of the number of edges and the maximum vertex degree in such hypergraphs. ...
Added: April 9, 2023
Akhmejanova M., Balogh J., Dmitrii Shabanov, Discrete Applied Mathematics 2022 Vol. 321 P. 72–81
We deal with an extremal problem concerning panchromatic colorings of hypergraphs. A vertex r-coloring of a hypergraph is panchromatic if every edge meets every color. We prove a new bound for the edges that guarantees the existence of a panchromatic coloring with r colors. ...
Added: March 20, 2023
Агаларов А. М., Потапов А. А., Рассадин А. Э. et al., Моделирование и анализ информационных систем 2018 Т. 25 № 1 С. 7–17
In the article, the possibility of using a bispectrum under the investigation of regular and chaotic behaviour of one-dimensional point mappings is discussed. The effectiveness of the transfer of this concept to nonlinear dynamics was demonstrated by an example of the Feigenbaum mapping. Also in the work, the application of the Kullback-Leibler entropy in the ...
Added: December 17, 2022
Ustinov A., Математические заметки 2022 Т. 112 № 3 С. 478–480
In the paper we proposes a new short proof of the Landsberg-Schaar identity based on finite Fourier series. ...
Added: October 10, 2022